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MariettaO [177]
4 years ago
9

Jackson is starting an exercise program. The first day he will spend 30 minutes on the treadmill. He will increase his time on t

he treadmill by two minutes each day. But in equation for T(d), the time, in minutes, on the treadmill on day. Find T(6), the minutes he will spend on the treadmill on day 6
Mathematics
1 answer:
yulyashka [42]4 years ago
3 0

Answer:

40 minutes.

Step-by-step explanation:

  • time spent on the thread mill as a function of d(day) = t(d)

= 30 +2(d-1) minutes

[where d represents day number]

(when d is 1 the time spent should be 30

so substitute d=1 and check it will be 30 only.

on first day he will spend 30 minutes so, I added 30 .

and on every additional day( these additional days are excluding first day), he will increase the time by 2 minutes.so, I added 2(d-1) to initial 30 minutes)

  • so, T(6), the minutes he will spend on the treadmill on day 6=

=30+2(6-1)

=30+2(5)

=30+10

=40 minutes

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3 years ago
Suppose you and a friend form a band. You want to record a demo. Sony Studios rents for $150 plus $20 an hour. Capitol Studios r
IRISSAK [1]

Answer:

200 < 225 + 80x < 550

The 200 is the amount the Jenna currently have.

225 + 80x is the amount that Jenna has to pay given x number of hours.

550 is the sum of Jenna's 200 and additional 350 she can get by selling pre-ordered Cds. This is the maximum amount she can pay for the studio rental and sound technicians.

Step-by-step explanation:

225 + 80x < 550

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80x / 80 < 325/80

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The number of hours for the sound technician will range from 1 hour to 4 hours.

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4 0
3 years ago
Read 2 more answers
What does T equal to?
GarryVolchara [31]

Answer:

4/3

Step-by-step explanation:

t^3=64/27

=4^3/3^3

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8 0
2 years ago
Read 2 more answers
16^5/4•16^1/4/(16^1/2)^2
Kazeer [188]

Answer:

The simplified expression is 16^-1/6

Step-by-step explanation:.

16^5/4•16^1 /4/ (16^1/2)^2

The dot means multiplication. The expression is rewritten as

16^5/4 × 16^1/4 / (16^1/2)^2

Recall the following rules of indices

1) y^a × y^b = y^(a+b)

2) (y^a)^b = y^ab

y^b/ y^a = y^(b-a)

Applying these rules of indices

16^5/4 × 16^1/4= 16^((5/4×1/4) = 16^((5/16)

(16^1/2)^2= 16^ 1/2×2 = 16^1 = 16

Therefore

16^5/4 × 16^1/4 / (16^1/2)^2

= 16^(5/16) /16

=16^(5/6) × 16^-1

= 16^ (5/6)-1

= 16^-1/6)

,The simplified expression is 16^-1/6

8 0
3 years ago
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